After a snowball fight, Ethan wanted to warm up with a cup of hot chocolate. He decided to make enough to share with his friends. First, he heated 6 cups of milk and 1 pint of cream in a large pot. Then, he stirred in 4 cups of melted chocolate. How many cups of hot chocolate did Ethan make?

Answer:

1500

Step-by-step explanation:

1/4t=500lbs so 500x3=1500

Answer:

$5.40

Step-by-step explanation:

multiply 60 by 0.09

Answer:

caca water

Step-by-step explanation:

I assume that you want to solve for x.

If so, just divide both sides by p.

px/p = 27/p

x = 27/p

Answer:

Exact Form: 8/5

Decimal Form: 1.6

Mixed Number Form: 1 3/5

Step-by-step explanation: Simplify the expression.

brainliest or a thank you pls :)

Answer:          

Step-by-step explanation:

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

[tex]H_0: p \leq 0.05[/tex]

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

[tex]H_a: p > 0.05[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]

A random sample of 300 items taken from the production line contained 27 defective items.

This means that [tex]n = 300, X = \frac{27}{300} = 0.09[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}[/tex]

[tex]z = 3.18[/tex]

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Answer:

I think it's 65

Step-by-step explanation:

15*10= 150

Answer:

70 cents

Step-by-step explanation:

Answer:

70 cent is the answer

Step-by-step explanation:

Answer:

more than three terms it has to be

Answer:

415

Step-by-step explanation:

you would find out what the percentage of the first amount then multiply that decimal by 1200.

83/240

           .3458333333333

ans x 1200

              415

Answer:

The series:

This is an AP with the first term a₁ = 10 and common difference d = 6

a) Recursive formula:

b) Explicit formula:

c) n = 5 ⇒ a₅ = ?

d) S₁₇ = ?

Step-by-step explanation:

sn=15+(n-1)2

the 20th row n=20 so the seats are  

15+(20-1)(2)=53 seats

Explicit formula:

aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

Write a formula to illustrate this arithmetic sequence:

Answer:

(3, -2) (8,3) first box

(6,26) (2,10) second box

(5,-1) (1,1) third box

Step-by-step explanation:

You plug the left number into the equation as x and then do the math to find what y should be equal to. This number should be equal to the right number in the parenthesis.

Answer:

I think it's C.

Answer:

12,18,24,107, [I cant see the rest]

Step-by-step explanation:

x ≥ 12

Answer:

12

Step-by-step explanation:

Answer:

x+y=9

x+2y=16

Step-by-step explanation:

x=2, y=7

2+7=9

so that be the first equation; x+y=9

2 + 2(7)= 16

so that would be the second equation; x + 2y = 16

Answer: 33.8

Step-by-step explanation:

[tex]\triangle HLJ[/tex] is an isosceles right triangle with a hypotenuse of length 14, so each of its legs has length [tex]7\sqrt{2}[/tex].

Therefore, the perimeter is [tex]14+7\sqrt{2}+7\sqrt{2} \approx 33.8[/tex]

[tex]1 < 4x + 2 < 10[/tex]

First let's subtract 2 from everything in the inequality:

[tex]1 - 2 < 4x + 2 - 2 < 10 - 2[/tex]

[tex]-1 < 4x < 8[/tex]

Next, let's divide 4 from everything in the inequality:

[tex]\frac{-1}{4} < \frac{4x}{4} < \frac{8}{4}[/tex]

[tex]\frac{-1}{4} < x < 2[/tex]

This is the final solution to the inequality: [tex](\frac{-1}{4}, 2)[/tex]

Answer:

1<4x+2<10

= -1/4<x<2

x=(-1/4,2)

Answer:

(2,-1)

Step-by-step explanation:

The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.

4x - 9 = x - 3                      Subtract x from both sides.

4x-x - 9 = -3                       Combine

3x -9 = - 3                          Add 9 to both sides

3x - 9+9 = - 3+9

3x = 6                                Divide by 3

3x/3 = 6/3

x = 2

===============

Now use the second equation to solve for y

y = x - 3

y = 2 - 3

y = -1

==============

The solution is (2,-1)

Answer:

A:

Square

Rectangle

Parallelogram

Quadrilateral

Rhombus

Step-by-step explanation:

All sides and angles are equal so it is a square

All angles are 90 degrees so it is a rectangle (eliminate C)

Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)

It has 4 sides so it is a quadrilateral (eliminate B)

Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.

Opposing sides are congruent so it is a rhombus.

9514 1404 393

Answer:

  a) <8.356, 9.959>

  b) <-0.605, -1.663>

  c) <-5.023, 2.9>

Step-by-step explanation:

Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)

If you want to do these calculations by hand, the conversion is ...

  <r, θ> ⇒ <r·cos(θ), r·sin(θ)>

In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.

Answer:

D. 3x + 12

Step-by-step explanation:

Distribute the 3 inside.

3 * x = 3x

3 * 4 = 12

3x + 12

Answer:

3x+12 (D)

Step-by-step explanation:

3(x+4)

=(3)(x+4)

=(3)(x)+(3)(4)

=3x+12

Hope this helps!

Answer:

Step-by-step explanation:

b + g = 8x

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation: